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Finding the Third Proportional to 51,366 and 78,843

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Solution

The third proportional to 51,366 and 78,843 is: 121,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,366 : 78,843 = 78,843 : x
  2. Step 2: Convert to fraction form
    51,366/78,843 = 78,843/x
  3. Step 3: Cross multiply
    51,366x = 78,843 × 78,843
  4. Step 4: Simplify right side
    51,366x = 6,216,218,649
  5. Step 5: Solve for x
    x = 6,216,218,649/51,366
  6. Step 6: Final answer
    x = 121,018.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.